If you are feeling lazy, then i'll upload the .tns file that you just need to transfer to your TI nSpire (using the computer link or Student Software)
Euler1.tns is the ORIGINAL Eulers Method thats programed from the Essentials book, my teacher sent it to me since he took the time to do it.
e.tns is a MODIFIED Eulers method done by me. Nothing special, i just changed instead of typing euler1 all the time, all i need to press is e and then blah blah
So how do you use this program?
Ok, so the question will tell you a differential equation, an x point and a y point (like f(1) = 3), and step size. find (whatever)
So what do you press?
1) Define f(x)=(equation)
Note that if you press f'(x) (even though the book is a differential equation) into the define, the program just farts and then rejects it. so ALWAYS use f(x)
For example, if the book says f'(x) = x + 1
on your calculator you type
Define f(x) = x + 1
DON'T ANTI-DIFF THE QUESTION EQUATION!!!!, just imagine that f(x) is the diffed equation
2) euler1(x,y,c,h)
x is the x point, y is the y point, c is the finding x point, h is the step size
Lets do an example.
Find f(1.2) when the equation is f'(x) = x2 - 1 and f(1) = 4 and step size is 0.1
On the program i would press
1) Define f(x)=x2-1
2) Euler1(1,4,1.2,0.1)
A row of answers come up, the last one is it.
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If you are using e.tns instead, instead of typing in Euler1 all the time, you just need to press e (the letter e, not exponential e) then whatever like e(x,y,c,h)
Hope that helps